( system Find the two eigenvalues and enter them as a comma separated list While often the eigenvalues for the second order linear systems end up being negative in applications, the technique works just as well with positive eigenvalues. Take the A₁, A₂ = x₁ (t) = x₂(t) Guess a solution of the form = vet, plug it into ' = Az as usual. Then guess what 7 and w should be in terms of the eigenvalues and eigenvectors of A. You should collect 4 different linearly independent solutions. For this notice that a square root of a positive number has two answers, a positive and a negative. Then find the solution of the initial value problem where: 2-[ #]* = 17 -8 -8 17 = help (numbers) 7(0) = help (formulas) help (formulas) [8] z'(0) = [12]
( system Find the two eigenvalues and enter them as a comma separated list While often the eigenvalues for the second order linear systems end up being negative in applications, the technique works just as well with positive eigenvalues. Take the A₁, A₂ = x₁ (t) = x₂(t) Guess a solution of the form = vet, plug it into ' = Az as usual. Then guess what 7 and w should be in terms of the eigenvalues and eigenvectors of A. You should collect 4 different linearly independent solutions. For this notice that a square root of a positive number has two answers, a positive and a negative. Then find the solution of the initial value problem where: 2-[ #]* = 17 -8 -8 17 = help (numbers) 7(0) = help (formulas) help (formulas) [8] z'(0) = [12]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
P.nilesh
![(
system
Find the two eigenvalues and enter them as a comma separated list
While often the eigenvalues for the second order linear systems end up being negative in applications, the technique works just as well with positive eigenvalues. Take the
A₁, A₂=
x₁ (t) =
x₂(t) =
x
help (numbers)
Guess a solution of the form = vet, plug it into = Az as usual. Then guess what 7 and w should be in terms of the eigenvalues and eigenvectors of A. You should collect 4
different linearly independent solutions. For this notice that a square root of a positive number has two answers, a positive and a negative.
Then find the solution of the initial value problem where:
=
help (formulas)
17
-8 17
7(0) = - [8] z' (0)
help (formulas)
T
12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F925785ca-8c38-466b-856b-3c2f9b7208c8%2Fd649d3cd-be68-469b-8ef7-21ed7588a926%2Fxpkhkso_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(
system
Find the two eigenvalues and enter them as a comma separated list
While often the eigenvalues for the second order linear systems end up being negative in applications, the technique works just as well with positive eigenvalues. Take the
A₁, A₂=
x₁ (t) =
x₂(t) =
x
help (numbers)
Guess a solution of the form = vet, plug it into = Az as usual. Then guess what 7 and w should be in terms of the eigenvalues and eigenvectors of A. You should collect 4
different linearly independent solutions. For this notice that a square root of a positive number has two answers, a positive and a negative.
Then find the solution of the initial value problem where:
=
help (formulas)
17
-8 17
7(0) = - [8] z' (0)
help (formulas)
T
12
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